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Prove that the function f(x)=x^2-x+1 is ...

Prove that the function `f(x)=x^2-x+1` is neither increasing nor decreasing on `(-1,\ 1)` .

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
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  2. Which of the following functions are decreasing on (0,\ pi//2) ? (i) c...

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  3. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

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  4. On which of the following intervals, the function x^(100)+sinx-1 is...

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  5. Determine the values of x for which f(x)=x^x ,\ x >0 is increasing or ...

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  6. Find the intervals in which f(x)=x/(logx) is increasing or decreasing

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  7. If a ,\ b ,\ c are real numbers, then find the intervals in which f(...

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  8. Show that for ageq1,\ \ f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on ...

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  9. Show that f(x)=cos(2x+pi//4) is an increasing function on (3pi//8,\ 7p...

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  10. Find the least value of ' a ' such that the function f(x)=x^2+a x+1 is...

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  11. Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x...

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  12. Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on...

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  13. Find the intervals in which f(x)=10-6x-2x^2 is increasing or decreasin...

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  14. Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

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  15. Find the intervals in which f(x)=6-9x-x^2 is increasing or decreasing.

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  16. Find the intervals in which f(x)=2x^3-12 x^2+18 x+15 is increasing or ...

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  17. Find the intervals in which f(x)=5+36 x+3x^2-2x^3 is increasing or dec...

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  18. Find the intervals in which f(x)=8+36 x+3x^2-2x^3 is increasing or dec...

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  19. Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or ...

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  20. Find the intervals in which f(x)=x^3-6x^2-36 x+2 is increasing or decr...

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